The number 31001
31001 is a composite number with 4 divisors. Its prime factorisation is 29 × 1069. Divisors (4): 1, 29, 1069, 31001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31001: a semiprime: 29 × 1069, the product of two primes.
- 2
31001 is composite. Its prime factorisation is
- 3
The divisors add up to 32100; without 31001 itself that is 1099, so 31001 is deficient (1099 is less than 31001). Euler's totient φ(31001) = 29904 numbers up to 31001 share no factor with it.
- 4
The digits of 31001 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31001 = 29 \times 1069 \]
31001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 32100 |
| Euler totient φ(n) | 29904 |
| Square | 961062001 |
| Cube | 29793883093001 |
| Square root | 176.071008 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1001 × |
31001 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and one |
| Binary (base 2) | 111100100011001 |
| Octal (base 8) | 74431 |
| Hexadecimal (base 16) | 7919 |
| Base 3 | 1120112012 |
| As time | 31001 seconds = 8 h 36 min 41 s |
Is 31001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31001 a prime number?
No. 31001 = 29 × 1069, so it is divisible by 29.
What are the factors of 31001?
1, 29, 1069, 31001.
What is 31001 in binary?
111100100011001 (hexadecimal 7919, octal 74431).
What is the square root of 31001?
About 176.0710.
Is 31001 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 31001?
31001 is a semiprime: 29 × 1069, the product of two primes.